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Latitudinal profiles of Sq fields were obtained by fitting a polynomial of 2° to the CM4 model after the region of ±3° at the dip equator was masked.
This filter acts by fitting a polynomial of a low degree on a subset of data into a span by applying unweighted linear least squares.
Smoothing includes an outlier detection by fitting a polynomial of degree 5 and removing distant line segments afterwards.
I n is displayed in Figure 5 a together with the smooth function obtained by fitting a polynomial of 5th order to I n (dashed line).
As we want to avoid being stuck in this first estimate in the iterative process the initial segmentation is heavily blurred by fitting a polynomial of degree 4 trough it.
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To derive such coefficients, consider how g 0 might be obtained: we want to fit a polynomial of degree M in (i), namely (a _{0} + a _{1} i + cdots + a _{M} i^{M}) to the values (f_{{ - n{text{L}}}},..., f_{{n{text{R}}}}).
For instance, when fitting a polynomial curve to a set of points, the discrepancy between the curve and the data points can be minimized arbitrarily by increasing the order of the polynomial until it equals the number of data points.
In Additional File 2, figures S2 and S3, the quadratic and cubic polynomial functions were well fitted by a polynomial of t = 10.
The obtained PSF widths in x and y are fitted with a polynomial of second order, which represents a physically derived model (Holtzer et al. 2007) or a fourth-order polynomial to account for imperfections in the optical system (Huang et al. 2008a).
The scatter diagram between numbers of intersections of dendrites (N) with these circles and circle radii (r) were fitted by a polynomial of the fifth degree [ 14], and the critical radius r c and maximum N m of N r) were estimated).
Fitting a fractional polynomial to the effect of randomised group over time and shrinking the effect of outliers beyond three years confirmed these results, although the confidence limits were wide.
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